Developing students' competence in algorithmic thinking is emerging as an objective of mathematics education, but despite its inclusion in mathematics curricula around the world, research into students' algorithmic thinking seems to be falling behind in this curriculum reform. The aim of this study was to investigate how the mathematical modelling…

In 2020, Year 12 students at John Curtin College of the Arts, were required to model COVID-19 data from five different countries in order to find correlations between daily infections and unemployment rates, in order to make future predictions. Work received from students demonstrated how the task successfully provided unique learning…

This paper reports on a teaching experiment on mathematical modelling in an upper secondary school class that investigates how the constructs of "model eliciting" and "emergent modelling" may be brought together to inform teaching and learning. A prominent role is covered by the process of task design, seen as a complex process…

A widely used instrument was implemented to ascertain the mathematical modelling competency displayed by a cohort of South African learners in grade 10 and grade 12 of the school mathematics programme in South Africa. The cohort comprised 471 grade 10 and 200 grade 12 learners from schools serving learners from low socio-economic status…

In this study, we follow students' modeling and covariational reasoning in the context of learning about big data. A three-week unit was designed to allow 12th grade students in a mathematics course to explore big and mid-size data using concepts such as trend and scatter to describe the relationships between variables in multivariate settings.…

This study explores the attitudes of mathematics pre-service teachers, based on their initial exposure to a model-eliciting challenge. The new Curriculum and Assessment Policy Statement determines that mathematics students should be able to identify, investigate and solve problems via modelling. The unpreparedness of mathematics teachers in…

In this study, we test an information-processing model (IPM) of problem solving in science education, namely the working memory overload model, by applying catastrophe theory. Changes in students' achievement were modeled as discontinuities within a cusp catastrophe model, where working memory capacity was implemented as asymmetry and the degree…

The vision for science education set forth in "A Framework for K-12 Science Education" (NRC 2012) makes it clear that for today's students to become the scientifically literate citizens of tomorrow their educational experiences must help them become mathematically proficient. "The focus here is on important practices, such as modeling, developing…

The vision for science education set forth in "A Framework for K-12 Science Education" (NRC 2012) makes it clear that for today's students to become the scientifically literate citizens of tomorrow, their educational experiences must help them become mathematically proficient. "The focus here is on important practices, such as modeling, developing…

National Assessment for Educational Progress (NAEP) frameworks describe the content and skills measured on NAEP assessments as well as the design of the assessment. They provide both the "what" and the "how" for national assessment. Representing the best thinking of thousands of educators, experts, parents, and policymakers,…

Explains a model to analyze direct teaching cost per student at the class level in the final two years of secondary schooling in Victoria, Australia. The model provides predictions for class size and unit cost for each learning area for various enrollment levels. Cost predictions for foreign-language classes were twice that of English classes.…

The concept under investigation was the reliability of estimates of mean scores of groups under various assumptions of multiple-matrix sampling when reliabilities are computed according to procedures based on generalizability theory. Four different cases were compared with respect to the generalizability coefficients depending upon whether pupils…

The applicability of the Rasch model to data from a typical personality test, the High School Personality Questionnaire (HSPQ), was studied. The data were gathered on Junior High and High School students in the Louisville Public Schools (Kentucky). Item easinesses and person abilities were estimated and compared by age group, within each age…

Procedures used to map the achievement levels, expressed as total expected scores on the full set of items presented to a grade, onto the Mathematics Composite of the 1990 National Assessment of Educational Progress (NAEP) are described. The Composite, defined as a weighted average of subdomain scores, provides a global measure of mathematics…

This study tested the multifaceted, hierarchical structure of self- concept (SC) against alternative models and determined whether academic SC can be discriminated from academic grades. Results supported the multidimensional interpretation of SC and demonstrated that general SC could be interpreted as distinct from but correlated with academic SC.…